Presentation of Data Test

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Presentation of Data Test - 41

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SHARING IS CARING

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Weekly Quiz Competition

Question 1
1 / -0

Data collection in a survey shows that $40 %$ of the buyers are interested in buying a particular brand of toothpaste. The central angle of the sector of the pie chart representing this information is

A
$120^o$

B
$150^o$

C
$144^o$

D
$40^ o$

Solution

Given percentage of people buying the particular toothpaste brand $=40$ %
Th e central angle of the sector of pie chart representing the above information= $40$ % of central angle.
As, central angle is $360^o$
$\therefore \dfrac{40}{100} \times 360^o$
$=144$
Question 2
1 / -0

Students of a class voted for their favorite colour and a pie chart was prepared based on the data collected.
Observe the given pie chart and answer the question
Which of the following is a reasonable conclusion for the given data?

A
$\frac{1}{20}th$ Student voted for blue colour.

B
Green is the least popular colour.

C
The number of students who voted for colour is two times the number of students who voted for yellow colour

D
Number of student liking together yellow and green colour is approximately the same as those for red colour.

Solution

Green and Yellow liked together by $= 14+20$ % = $34$ % students, which is just about similar to votes for red colour that is $35$ %.
Option D is correct answer.
Question 3
1 / -0

The following pie chart gives the distribution of constituents in the human body. The central angle of the sector showing the distribution of protein and other constituents is

A
$108^o$

B
$54^o$

C
$30^o$

D
$216^o$

Solution

Protein = $16\%$ , other constituents = $14$ %
Protein and other constituents= $16$ % + $14$ % = $30$ %
Central angle of sector = $\dfrac{30}{100}\times 360^o$
Thus, central angle of sector showing distribution and other constituents= $108^o$ .
Question 4
1 / -0

A geometric representation showing the relationship between a whole and its parts is a

A
Pie chart

B
Histogram

C
Bar graph

D
Pictograph

Solution

Pie chart shows relationship between a whole and its parts.
Question 5
1 / -0

The mode of a frequency distribution can be determined graphically from.

A
histogram

B
frequency polygon

C
frequency curve

D
ogive

Solution

The mode of a frequency distribution can be determined graphically from histogram
Question 6
1 / -0

In the following frequency distribution the number of students whose age is less than $20$ years is :

A
$8$

B
$16$

C
$9$

D
$17$

Solution

3+6+8=17
Question 7
1 / -0

The give bar graph here shows the percentage distribution of the total production of a car manufacture company into various models over two years. Study the graph carefully and answer the question.
Percentage of six different types of car manufactured by a company over two year.
Difference between total number of cars of models P, Q and T manufactured in 2000 and 2001 is _____.

A
$2,45,000$

B
$2,27,000$

C
$2,10,000$

D
$179200$

Solution

Total car produce in $2000=350000$
% of $P=30$
% of $Q=15$
% of $T=15$
Car produce by ${ p }_{ i }{ q }_{ i }t=30+15+15=60$ %
Total car produce $p,q,t=\cfrac { 350000\times 60 }{ 100 } \\ =210000$
Total car produce in $2001=44000$
% of $P=40$
% of $Q=20$
% of $T=10$
Total car produce $p,q,t=70$ %
$=\cfrac { 44000\times 70 }{ 100 } \\ =30800$
Difference in produvtion in $2000$ & $2001$
$=210000-30800\\ =179200Ans.$
Question 8
1 / -0

Study the pie chart and information given and answer the following question.
There are $1150$ students of a school opted sports as a hobby.
What is the total number of students in the school?

A
$4990$

B
$5000$

C
$5050$

D
$5100$

Solution

23% of total students opted sports as a hobby
Let total number of students be $x$
$0.23x$ $=1150$
$x=5000$
Hence, Option B is correct answer.
Question 9
1 / -0

The pictogram shows the number of calculators sold by a shop over three days. A total of Rs. $600$ was collected from the sale of calculators on Monday.Which of the following statements is correct?

A
The price of each calculator is Rs. $50$

B
The total sales made over the $3$ days amounted to Rs. $1800$

C
$60$ calculators were sold on Tuesday

D
The difference between the sales on Tuesday and Wednesday is Rs. $200$

Solution

As each key represents $5$ calculators, $5 \times 4 = 20$ calculators were sold on Monday.
As Rs. $600$ was collected on Monday, cost of each calculator $= \dfrac {600}{20} =$ Rs. $30$
The total number of calculators sold on all three days $= 12$ keys $\times 5 = 60$ .
Total money collected in three days $= 60 \times$ Rs. $30 =$ Rs. $1800$ .
Question 10
1 / -0

The Charleston Recycling Company collects 50,000 tons of recyclable material every month. The chart shows the kinds of materials that are collected by the company's five trucks. What is the second most common material that is recycled?

A
Cardboard

B
Glass

C
Paper

D
Plastic

E
Other

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Re-Attempt Weekly Quiz Competition

Presentation of Data Test - 41

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Presentation of Data Test - 41

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SHARING IS CARING

Question 1

120o 120^o 120o

150o 150^o 150o

144o 144^o 144o

40o 40^ o 40o

Solution

Question 2

120th \frac{1}{20}th 201​th Student voted for blue colour.

Green is the least popular colour.

The number of students who voted for colour is two times the number of students who voted for yellow colour

Number of student liking together yellow and green colour is approximately the same as those for red colour.

Solution

Question 3

108o 108^o 108o

54o 54^o 54o

30o 30^o 30o

216o 216^o 216o

Solution

Question 4

Pie chart

Histogram

Bar graph

Pictograph

Solution

Question 5

histogram

frequency polygon

frequency curve

ogive

Solution

Question 6

888

161616

999

171717

Solution

Question 7

2,45,0002,45,0002,45,000

2,27,0002,27,0002,27,000

2,10,0002,10,0002,10,000

179200179200179200

Solution

Question 8

499049904990

500050005000

505050505050

510051005100

Solution

Question 9

The price of each calculator is Rs. 505050

The total sales made over the 333 days amounted to Rs. 180018001800

606060 calculators were sold on Tuesday

The difference between the sales on Tuesday and Wednesday is Rs. 200200200

Solution

Question 10

Cardboard

Glass

Paper

Plastic

Other

User

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$120^o$

$150^o$

$144^o$

$40^ o$

$\frac{1}{20}th$ Student voted for blue colour.

$108^o$

$54^o$

$30^o$

$216^o$

$8$

$16$

$9$

$17$

$2,45,000$

$2,27,000$

$2,10,000$

$179200$

$4990$

$5000$

$5050$

$5100$

The price of each calculator is Rs. $50$

The total sales made over the $3$ days amounted to Rs. $1800$

$60$ calculators were sold on Tuesday

The difference between the sales on Tuesday and Wednesday is Rs. $200$